Re: basis finding of rectangular matrix

In article <ef18cf1.-1@xxxxxxxxxxxxxxxx>, Abhishek <denim83@xxxxxxxxx> wrote:

> how to find out a basis of a rectangular matrix where rows>cols.?
-----------------
Hello Abhishek,

As was pointed out in this newsgroup recently by John D'Errico, you can
accomplish that as follows with matrix A:

[Q,R,E] = qr(A,0);
B = A(:,E(1:rank(A)));

The columns of B will be a linearly independent set selected from the
columns of A and forming a basis for the A column space. This holds
whether or not the number of rows in A exceeds its number of columns.

(Remove "xyzzy" and ".invalid" to send me email.)
Roger Stafford
.

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